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145344402336 = 2537216286313
BaseRepresentation
bin1000011101011100110…
…0111001001110100000
3111220011022010122111110
42013113030321032200
54340131131333321
6150434214543320
713333525015140
oct2072714711640
9456138118443
10145344402336
1156705142781
1224203667b40
1310923b96c43
14706b340920
153baa008176
hex21d73393a0

145344402336 has 48 divisors (see below), whose sum is σ = 436033209024. Its totient is φ = 41526971904.

The previous prime is 145344402331. The next prime is 145344402349. The reversal of 145344402336 is 633204443541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1453444023362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145344402294 and 145344402303.

It is not an unprimeable number, because it can be changed into a prime (145344402331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108142485 + ... + 108143828.

It is an arithmetic number, because the mean of its divisors is an integer number (9084025188).

Almost surely, 2145344402336 is an apocalyptic number.

145344402336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145344402336 is an abundant number, since it is smaller than the sum of its proper divisors (290688806688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145344402336 is a wasteful number, since it uses less digits than its factorization.

145344402336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216286333 (or 216286325 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 145344402336 its reverse (633204443541), we get a palindrome (778548845877).

The spelling of 145344402336 in words is "one hundred forty-five billion, three hundred forty-four million, four hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 216286313 432572626 648858939 865145252 1297717878 1514004191 1730290504 2595435756 3028008382 3460581008 4542012573 5190871512 6056016764 6921162016 9084025146 10381743024 12112033528 18168050292 20763486048 24224067056 36336100584 48448134112 72672201168 145344402336